Given numbers are 306,924,592,304,638

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 306,924,592,304,638 is 3842867952.

Find LCM of 306,924,592,304,638 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 3 x 11 x 51 x 7 x 37 x 19 x 29 = 3842867952

Therefore, the lowest common multiple of 306,924,592,304,638 is 3842867952.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

306 x 924 x 592 x 304 x 638 = 32464548458496

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

638 : 1, 2, 11, 22, 29, 58, 319, 638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,924,592,304,638, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

924:2x 2x 3x 7x 11

592:2x 2x 2x 2x 37

304:2x 2x 2x 2x 19

638:2x 11x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 3x 11 = 4224

Therefore, the value for common factors is 4224.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 32464548458496/(2x4224)

LCM = 32464548458496/8448

LCM = 3842867952

Thus, we can understand that the LCM of 306,924,592,304,638 is 3842867952.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 595, 450, 825, 917, 602
• LCM of 231, 238, 513, 662, 537
• LCM of 877, 407, 586, 456, 911
• LCM of 616, 516, 807, 540, 836
• LCM of 116, 458, 870, 513, 815

1. What is the LCM of 306, 924, 592, 304, 638?

Answer: LCM of 306, 924, 592, 304, 638 is 3842867952.

2. How to calculate the LCM of 306, 924, 592, 304, 638?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 306, 924, 592, 304, 638.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.